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arXiv · 2305.15681

Strong duality Data of type $A$ and extended $T$-systems

Katsuyuki Naoi
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Abstract

The extended $T$-systems are a number of short exact sequences in the category of finite-dimensional modules over the quantum affine algebras of types $A_n^{(1)}$ and $B_n^{(1)}$, introduced by Mukhin and Young as a generalization of the $T$-systems. In this paper we establish the extended $T$-systems for more general modules, which are constructed from an arbitrary strong duality datum of type $A$. Our approach does not use the theory of $q$-characters, and so also provides a new proof to the original Mukhin-Young's extended $T$-systems.

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Katsuyuki Naoi. 2023-05-25. Strong duality Data of type $A$ and extended $T$-systems. https://arxiv.org/abs/2305.15681

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